428947740 has 288 divisors, whose sum is σ = 1525620096. Its totient is φ = 96583680.

The previous prime is 428947733. The next prime is 428947741. The reversal of 428947740 is 47749824.

It is a super-2 number, since 2×428947740² = 367992327302215200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428947741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1630849 + ... + 1631111.

It is an arithmetic number, because the mean of its divisors is an integer number (5297292).

Almost surely, 2^428947740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428947740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762810048).

428947740 is an abundant number, since it is smaller than the sum of its proper divisors (1096672356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428947740 is a wasteful number, since it uses less digits than its factorization.

428947740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 428947740 is about 20711.0535704971. The cubic root of 428947740 is about 754.1680469368.

The spelling of 428947740 in words is "four hundred twenty-eight million, nine hundred forty-seven thousand, seven hundred forty".